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Finding the Fourth Proportional to 992.26, 1,488.63 and 343.00

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Solution

The fourth proportional to 992.26, 1,488.63 and 343.00 is: 514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.26 : 1,488.63 = 343.00 : x
  2. Step 2: Convert to fraction form
    992.26/1,488.63 = 343.00/x
  3. Step 3: Cross multiply
    992.26x = 1,488.63 × 343.00
  4. Step 4: Simplify right side
    992.26x = 510,590.93
  5. Step 5: Solve for x
    x = 510,590.93/992.26
  6. Step 6: Final answer
    x = 514.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.